Answer:
two solutions : (-3;4) and (-5;6)
Step-by-step explanation:
hello :
X²+y²+18x+29=0 ..(1)
X+y=1 ...(2)
by (2) : y = 1 - x
put this value in (1) : x² +(1-x)² +18x+29 = 0
x² +1 +x² -2x+18x +29 =0
2x²+16x +30 = 0
x²+8x+15 =0
delta = b²-4ac a=1 b=8 c = 15
delta = (8)²-4(1)(15)=64-60 =4 = 2²
X1=(-8+2)/2 = - 3
X2=(-8-2)/2 = - 5
case 1 : x = -3 y = 1 - (-3) = 4
case 2 : x = -5 y = 1 - (-5) = 6
Answer:
∠ XAZ = 50°
Step-by-step explanation:
The measure of the circle = 360°
Given arc XYZ = 230°, then
arc XZ = 360° - 230° = 130°
The tangent- tangent angle XAZ is one half the difference of the intercepted arcs, that is
∠ XAZ =
(230 - 130)° = 0.5 × 100° = 50°
10 rows because that's right
Answer: $11.60
Explanation: First, you want to do 15.1 - 9.3 to find what half of his weekly allowance is, and that would be 5.8, AKA $5.80. Next, you want to multiply that number by 2, which would be 5.8(2) to get 11.6, or your final answer, $11.60.
Answer:
B
Step-by-step explanation:
arc length = circumference × fraction of circle
= 84 ×
= 21 cm